Zorn's lemma, also known as the Kuratowski–Zorn lemma, is a proposition of set theory. It states that a partially ordered set containing upper bounds for...
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local lemma Nakayama's lemma Poincaré's lemma Riesz's lemma Schur's lemma Schwarz's lemma Sperner's lemma Urysohn's lemma Vitali covering lemma Yoneda's...
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on the following technical lemma, sometimes referred to as the Shen criterion in the literature. Lemma Let (G, G+) be a Riesz group, ϕ: (Zk, Zk+) → (G,...
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and Riesz (1907). The general result, that the dual of a Hilbert space is identified with the Hilbert space itself, can be found in Riesz (1934). von Neumann...
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Hausdorff maximal principle is an alternate and earlier formulation of Zorn's lemma proved by Felix Hausdorff in 1914 (Moore 1982:168). It states that in any...
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category of commutative C*-algebras and that of compact Hausdorff spaces. The Riesz representation theorem states that a Hilbert space, such as the square-integrable...
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invitation of the mathematician Hermann Weyl. While there, he also met John von Neumann. Kakutani received his Ph.D. in 1941 from Osaka University and taught...
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Prékopa–Leindler inequality Rayleigh–Faber–Krahn inequality Remez inequality Riesz rearrangement inequality Schur test Shapiro inequality Sobolev inequality...
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(algebraic geometry) Riesz representation theorem (functional analysis, Hilbert space) Riesz–Fischer theorem (real analysis) Riesz–Thorin theorem (functional...
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Maehara, that Brouwer's fixed point theorem implies Jordan's theorem. Denjoy–Riesz theorem, a description of certain sets of points in the plane that can be...
27 KB (3,279 words) - 04:03, 29 July 2024